Approximately spectrum-preserving maps

DOI10.1016/j.jfa.2011.02.020zbMath1220.47050OpenAlexW1982430132MaRDI QIDQ537719

J. Extremera, Jerónimo Alaminos, Armando R. Villena

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.02.020

zbMATH Keywords

spectrumhomomorphismpseudospectrumKaplansky's problemspectrum preserving mapGleason-Kahane-Żelazko theoremstandard operator algebraanti-homomorphismapproximately multiplicative functionalapproximately multiplicative map

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (9)

Pseudospectrum of an element of a Banach algebra ⋮ Linear maps preserving pseudospectrum and condition spectrum ⋮ The (\(n,\epsilon\))-pseudospectrum of an element of a Banach algebra ⋮ Continuity of generalized Jordan derivations on semisimple Banach algebras ⋮ Metric versions of Herstein's theorems on Jordan maps ⋮ Spectral preservers and approximate spectral preservers on operator algebras ⋮ Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ Stability of the Wigner equation -- a singular case

Uses Software

• Eigtool

Cites Work

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